100323503225440 has 384 divisors, whose sum is σ = 269632587248640. Its totient is φ = 34953480806400.

The previous prime is 100323503225419. The next prime is 100323503225489. The reversal of 100323503225440 is 44522305323001.

It is a junction number, because it is equal to n+sod(n) for n = 100323503225396 and 100323503225405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1156943685 + ... + 1157030395.

It is an arithmetic number, because the mean of its divisors is an integer number (702168195960).

Almost surely, 2^{100323503225440} is an apocalyptic number.

100323503225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323503225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134816293624320).

100323503225440 is an abundant number, since it is smaller than the sum of its proper divisors (169309084023200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100323503225440 is a wasteful number, since it uses less digits than its factorization.

100323503225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87046 (or 87038 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 100323503225440 its reverse (44522305323001), we get a palindrome (144845808548441).

The spelling of 100323503225440 in words is "one hundred trillion, three hundred twenty-three billion, five hundred three million, two hundred twenty-five thousand, four hundred forty".